Titlebook: Semi-Markov Random Evolutions; V. Korolyuk,A. Swishchuk Book 1995 Springer Science+Business Media Dordrecht 1995 Markov process.Markov ren

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by two processes, namely, by the switching Markov renewal process, which describes the changes of the state of the external random medium, and by the switched process, i.e., by the semigroup of oper­ ators describing the evolution of the system in the semi-Markov random medium.978-94-010-4439-4978-94-011-1010-5

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Semi-Markov Random Evolutions,A mathematical model of the random medium in the form of a Markov renewal process, which was introduced in Chapter 1, forms a basis for constructing various mathematical models of the evolution of stochastic systems in the random medium.

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Application of the Limit Theorems to Semi-Markov Random Evolutions in the Averaging Scheme,This chapter deals with the averaging of stochastic systems admitting the representation in the form of semi-Markov random evolutions. The limit theorems derived in Chapters 4 – 6 are used. The condition of compact confinement plays an essential role in our presentation.

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